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Finding the Fourth Proportional to 451.62, 624.10 and 340.91

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Solution

The fourth proportional to 451.62, 624.10 and 340.91 is: 471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 624.10 = 340.91 : x
  2. Step 2: Convert to fraction form
    451.62/624.10 = 340.91/x
  3. Step 3: Cross multiply
    451.62x = 624.10 × 340.91
  4. Step 4: Simplify right side
    451.62x = 212,761.93
  5. Step 5: Solve for x
    x = 212,761.93/451.62
  6. Step 6: Final answer
    x = 471.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.